Let x be a random variable that represents the pH of arterial plasma oods). For healthy adults, the mean of the x distribution is µ = 7.4 (Refere- lanual, a commonly used reference in medical schools and nursing program thritis has been developed. However, it is thought that this drug may chan andom sample of 31 patients with arthritis took the drug for 3 months, Blo- = 8.1 with sample standard deviation s = 1.9. Use a 5% level of significar nat the drug has changed (either way) the mean pH level of the blood. dult meen =7.4
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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oods). For healthy adults, the mean of the x distribution is µ = 7.4 (Refere
lanual, a commonly used reference in medical schools and nursing program
thritis has been developed. However, it is thought that this drug may chan
andom sample of 31 patients with arthritis took the drug for 3 months, Blo-
= 8.1 with sample standard deviation s = 1.9. Use a 5% level of significan
nat the drug has changed (either way) the mean pH level of the blood.
dult meen=7.4"
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